GCD of 231, 270, 264, 828 Calculator

Given Input numbers are 231, 270, 264, 828

In the factoring method, we have to find the divisors of all numbers

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (231, 270, 264, 828) = 3.

Given numbers are 231, 270, 264, 828

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 231, 270, 264, 828 is 3.

Given numbers are 231, 270, 264, 828

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(231, 270) = 20790

GCD(231, 270) = ( 231 x 270 ) / 20790

= 231 / 270

= 231

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 231, 270, 264, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 444, 985, 693
• GCD of 330, 781, 904, 662
• GCD of 752, 841, 804, 499
• GCD of 429, 561, 660, 223
• GCD of 685, 587, 568, 483

Given numbers are 231, 270, 264, 828
The greatest common divisor of numbers 231, 270, 264, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 270, 264, 828 is 3.

1. What is the GCD of 231, 270, 264, 828?

GCD of given numbers 231, 270, 264, 828 is 3

2. How to calculate the greatest common divisor of 231, 270, 264, 828?

We can find the highest common divisor of 231, 270, 264, 828 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 231, 270, 264, 828 i.e 3.

3. How can I use the GCD of 231, 270, 264, 828Calculator?

Out the numbers 231, 270, 264, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.